Yaseen, Muhammad Abbas, Muhammad
Published in
Applied Mathematics-A Journal of Chinese Universities

In this paper, a proficient numerical technique for the time-fractional telegraph equation (TFTE) is proposed. The chief aim of this paper is to utilize a relatively new type of B-spline called the cubic trigonometric B-spline for the proposed scheme. This technique is based on finite difference formulation for the Caputo time-fractional derivative...

Chen, Xiao-dan Hao, Guo-liang Jin, De-quan
Published in
Applied Mathematics-A Journal of Chinese Universities

The Kirchhoff index K f (G) of a graph G is defined to be the sum of the resistance distances between all pairs of vertices of G. In this paper, we develop a novel method for ordering the Kirchhoff indices of the complements of trees and unicyclic graphs. With this method, we determine the first five maximum values of K f (T¯\documentclass[12pt]{mi...

Dong, Hua Zhao, Xiang-hua
Published in
Applied Mathematics-A Journal of Chinese Universities

The spectrally negative Lévy risk model with random observation times is considered in this paper, in which both dividends and capital injections are made at some independent Poisson observation times. Under the absolute ruin, the expected discounted dividends and the expected discounted capital injections are discussed. We also study the joint Lap...

Shen, Jian-fei Pang, Tian-xiao
Published in
Applied Mathematics-A Journal of Chinese Universities

A general asymptotic theory is given for the panel data AR(1) model with time series independent in different cross sections. The theory covers the cases of stationary process, local to unity process, unit root process, mildly integrated, mildly explosive and explosive processes. It is assumed that the cross-sectional dimension and time-series dime...

Lian, Bo-yong Cai, Qing-bo
Published in
Applied Mathematics-A Journal of Chinese Universities

In this paper, we introduce the Bézier variant of two new families of generalized Bernstein type operators. We establish a direct approximation by means of the Ditzian-Totik modulus of smoothness and a global approximation theorem in terms of second order modulus of continuity. By means of construction of suitable functions and the method of Bojani...

Samar, Mahvish Farooq, Aamir Mu, Chun-lai
Published in
Applied Mathematics-A Journal of Chinese Universities

In this article, we consider the structured condition numbers for LDU, factorization by using the modified matrix-vector approach and the differential calculus, which can be represented by sets of parameters. By setting the specific norms and weight parameters, we present the expressions of the structured normwise, mixed, componentwise condition nu...

Chen, Xiao-diao Wang, Long-quan Wang, Yi-gang
Published in
Applied Mathematics-A Journal of Chinese Universities

This paper presents an interpolation-based method (IBM) for approximating some trigonometric functions or their integrals as well. It provides two-sided bounds for each function, which also achieves much better approximation effects than those of prevailing methods. In principle, the IBM can be applied for bounding more bounded smooth functions and...

Yang, Yan-juan Wang, Lin Wang, Wei
Published in
Applied Mathematics-A Journal of Chinese Universities

In this paper, the preimage branch t-entropy and entropy dimension for nonautonomous systems are studied and some systems with preimage branch t-entropy zero are introduced. Moreover, formulas calculating the s-topological entropy of a sequence of equi-continuous monotone maps on the unit circle are given. Finally, examples to show that the entropy...

Wang, Ding-huai Zhou, Jiang Ma, Bo-lin
Published in
Applied Mathematics-A Journal of Chinese Universities

In this paper, the authors establish the (Lp(μ), Lq(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions (b ∈ Lipβ (μ)), where 1

Zhou, Shuang-shuang Gong, Ting Yang, Jin-ge
Published in
Applied Mathematics-A Journal of Chinese Universities

We deal with the boundedness of solutions to a class of fully parabolic quasilinear repulsion Chemotaxis systems {ut=∇⋅(ϕ(u)∇u)+∇⋅(ψ(u)∇v),(x,t)∈Ω×(0,T),vt=Δv−v+u,(x,t)∈Ω×(0,T),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgr...